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The geometry of groups

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Groups are extremely natural algebraic objects, allowing us to express the notion of symmetry in a mathematical language. While they can be studied in a purely algebraic or combinatorial way, groups truly come alive when imbued with geometry. We will talk about how to construct graphs from groups, the interactions between geometric and algebraic properties of groups, and some surprising applications, including how group theory can help you save money on cables.

This talk is part of the The Archimedeans (CU Mathematical Society) series.

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